Factor the trinomial.
-$$15 x ^ { 2 } + 8 x - 16$$
A) $( 3 x + 4 ) ( 5 x - 4 )$
B) $( 15 x + 4 ) ( x - 4 )$
C) $( 3 x - 4 ) ( 5 x + 4 )$
D) prime polynomial

Question

Quizplus · Accepted Answer

The correct factorization of $15x^2 + 8x - 16$ is found by looking for two numbers that multiply to $15 \times -16 = -240$ and add to $8$. The numbers $20$ and $-12$ work, since $20 \times -12 = -240$ and $20 + (-12) = 8$. Rewriting the middle term $8x$ as $20x - 12x$ and factoring by grouping gives us $(3x + 4)(5x - 4)$.

Factor the Trinomial 15x2+8x−1615 x ^ { 2 } + 8 x - 1615x2+8x−16

Factor the Trinomial $15 x ^ { 2 } + 8 x - 16$